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+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Ch:28 Worm and worm wheel set"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## exa 28-1 - Page 726"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "G is 30 \n",
+ "\n",
+ "CD is 100 mm \n",
+ "\n",
+ "d is 50 mm \n",
+ "\n",
+ "D is 150 mm \n"
+ ]
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "from math import sqrt, pi\n",
+ "Z1=1#\n",
+ "Z2=30#\n",
+ "q=10#\n",
+ "m=5#\n",
+ "d=q*m#\n",
+ "D=m*Z2#\n",
+ "#let the speed reduction ratio be G\n",
+ "G=Z2/Z1#\n",
+ "CD=(d+D)/2#\n",
+ "print \"G is %0.0f \"%(G)#\n",
+ "print \"\\nCD is %0.0f mm \"%(CD)#\n",
+ "print \"\\nd is %0.0f mm \"%(d)#\n",
+ "print \"\\nD is %0.0f mm \"%(D)#"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## exa 28-2 - Page 726"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "i is 52 \n",
+ "\n",
+ "CD is 248 mm \n",
+ "\n",
+ "pa is 25.13 mm \n",
+ "\n",
+ "da is 96 mm \n",
+ "\n",
+ "df is 60.975 mm \n",
+ "\n",
+ "Da is 431.841 mm \n",
+ "\n",
+ "Df is 396.816 mm \n"
+ ]
+ }
+ ],
+ "source": [
+ "from math import tan, atan, cos,pi\n",
+ "Z1=1#\n",
+ "Z2=52#\n",
+ "q=10#\n",
+ "m=8#\n",
+ "i=Z2/Z1#\n",
+ "CD=((m*q)+(m*Z2))/2#\n",
+ "lamda=atan(Z1/q)#\n",
+ "d=q*m#\n",
+ "da=m*(q+2)#\n",
+ "df=m*(q+2-(4.4*cos(lamda)))#\n",
+ "pa=m*pi#\n",
+ "D=m*Z2#\n",
+ "Da=m*(Z2+(4*cos(lamda))-2)#\n",
+ "Df=m*(Z2-2-(0.4*cos(lamda)))#\n",
+ "print \"i is %0.0f \"%(i)#\n",
+ "print \"\\nCD is %0.0f mm \"%(CD)#\n",
+ "print \"\\npa is %0.2f mm \"%(pa)#\n",
+ "print \"\\nda is %0.0f mm \"%(da)#\n",
+ "print \"\\ndf is %0.3f mm \"%(df)#\n",
+ "print \"\\nDa is %0.3f mm \"%(Da)#\n",
+ "print \"\\nDf is %0.3f mm \"%(Df)#"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## exa 28-3 - Page 727"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Ptw=Pag is 1591.5 N \n",
+ "\n",
+ "Paw=Ptg is 5487 N \n",
+ "\n",
+ "Prw=Prg is 1188 N \n"
+ ]
+ }
+ ],
+ "source": [
+ "from math import sqrt, pi,sin,cos,atan\n",
+ "Z1=2#\n",
+ "Z2=60#\n",
+ "q=10#\n",
+ "m=5#\n",
+ "P=6000#\n",
+ "N=1440#\n",
+ "u=0.08#\n",
+ "alpha=20*pi/180#\n",
+ "lamda=atan(Z1/q)#\n",
+ "d=m*q#\n",
+ "w=2*pi*N/60#\n",
+ "T=P/w#\n",
+ "Ptw=T*10**3/(d/2)#\n",
+ "a=cos(alpha)#\n",
+ "b=cos(lamda)#\n",
+ "x=sin(alpha)#\n",
+ "y=sin(lamda)#\n",
+ "Paw=Ptw*(((a*b)-(u*y))/((a*y)+(u*b)))#\n",
+ "Prw=Ptw*y/((a*y)+(u*b))#\n",
+ "#Paw=Ptw*((cos(alpha)*cos(lambda))-(u*sin(lambda)))/((cos(alpha)*sin(lambda))+(u*cos(lambda)))#\n",
+ "#Prw=Ptw*((sin(alpha))/((cos(alpha)*sin(lambda))+(u*cos(lambda))))#\n",
+ "print \"Ptw=Pag is %0.1f N \"%(Ptw)#\n",
+ "print \"\\nPaw=Ptg is %0.0f N \"%(Paw)#\n",
+ "print \"\\nPrw=Prg is %0.0f N \"%(Prw)#\n",
+ " \n",
+ "#The difference in the value is due to rounding-off the values."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## exa 28-4 - Page 728"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "P is 1.2 kW \n",
+ "\n",
+ "Po is 1.047 kW \n",
+ "\n",
+ "Pf is 0.153 kW \n"
+ ]
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "from math import sqrt, pi, cos,atan,tan,sin\n",
+ "Z1=2#\n",
+ "Z2=40#\n",
+ "q=8#\n",
+ "m=5#\n",
+ "d=q*m#\n",
+ "P=1.2#\n",
+ "lamda=atan(Z1/q)#\n",
+ "N=1000#\n",
+ "Vt=2*pi*N*20/(60*1000)#\n",
+ "Vs=Vt/cos(lamda)#\n",
+ "u=0.032#\n",
+ "alpha=20*pi/180#\n",
+ "x=cos(alpha)#\n",
+ "y=tan(lamda)#\n",
+ "z=(cos(lamda))/sin(lamda)#\n",
+ "n=(x-(u*y))/(x+(u*z))#\n",
+ "#Let power output be Po\n",
+ "Po=P*n#\n",
+ "#Let power lost in friction be Pf\n",
+ "Pf=P-Po#\n",
+ "print \"P is %0.1f kW \"%(P)#\n",
+ "print \"\\nPo is %0.3f kW \"%(Po)#\n",
+ "print \"\\nPf is %0.3f kW \"%(Pf)#\n",
+ " "
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## exa 28-5 - Page 729"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "n is 0.865 \n",
+ "\n",
+ "delT is 18.73 deg \n"
+ ]
+ }
+ ],
+ "source": [
+ "from math import sqrt, pi, cos,atan,tan,sin\n",
+ "Z1=2#\n",
+ "Z2=54#\n",
+ "q=10#\n",
+ "m=8#\n",
+ "P=4000#\n",
+ "A=1.8#\n",
+ "K=16#\n",
+ "N=1000#\n",
+ "u=0.028#\n",
+ "lamda=atan(Z1/q)#\n",
+ "alpha=20*pi/180#\n",
+ "d=m*q#\n",
+ "Vt=2*pi*N*d/(2*60*1000)#\n",
+ "Vs=Vt/cos(lamda)#\n",
+ "x=cos(alpha)#\n",
+ "y=tan(lamda)#\n",
+ "z=(cos(lamda))/sin(lamda)#\n",
+ "n=(x-(u*y))/(x+(u*z))#\n",
+ "delT=P*(1-n)/(K*A)#\n",
+ "print \"n is %0.3f \"%(n)#\n",
+ "print \"\\ndelT is %0.2f deg \"%(delT)#"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## exa 28-6 - Page 729"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Sb is 8286 N \n",
+ "\n",
+ "Sw is 3362 N \n"
+ ]
+ }
+ ],
+ "source": [
+ "from math import sqrt, pi, cos,atan,tan,sin\n",
+ "Z1=1#\n",
+ "Z2=30#\n",
+ "q=10#\n",
+ "m=6#\n",
+ "#Let the ultimate strength of gear is sigut\n",
+ "#Let the allowable strenth of wheel is sigb\n",
+ "sigut=450#\n",
+ "sigb=84#\n",
+ "N=1200#\n",
+ "n=N/Z2#\n",
+ "alpha=20*pi/180#\n",
+ "d=m*q#\n",
+ "D=Z2*m#\n",
+ "b=3*d/4#\n",
+ "V=2*pi*n*D/(2*60*1000)#\n",
+ "Cv=6/(6+V)#\n",
+ "y=0.154-(0.912/Z2)#\n",
+ "Y=pi*y#\n",
+ "Sb=sigb*b*Cv*m*Y#\n",
+ "K=0.415#\n",
+ "Sw=b*D*K#\n",
+ "print \"Sb is %0.0f N \"%(Sb)#\n",
+ "print \"\\nSw is %0.0f N \"%(Sw)#\n",
+ "\n",
+ "#The difference in the value of Sb is due to rounding-off the values."
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.9"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
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